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Main page » Non-Fiction » Science literature » Maths » Handbook of Geometric Analysis, No. 3 (volume 14 of the Advanced Lectures in Mathematics series)


Handbook of Geometric Analysis, No. 3 (volume 14 of the Advanced Lectures in Mathematics series)

 

Geometric Analysis combines differential equations and differential geometry. An important aspect is to solve geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Ampère equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications.



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Tags: differential, equations, geometric, Geometric, important, Analysis